You are here: Home / Resources / Browse Resources

Open. Adaptable. Free.

Resources created by our members and partners.

The QUBES platform hosts hundreds of teaching materials, reference materials, and cloud-based software free to use and adapt using open Creative Commons licenses.

Text Search:
Applied Filters
    1-070-FisheryHarvest-ModelingScenario
    Students model with logistic growth, harvesting, and diffusion in analyzing ocean fisheries of the Atlantic cod. We help students build models, ever more complex, to capture physical realities. At...

    Keywords: logisticDiffusionmanagementharvestfishery

    1125

    views

    1229

    downloads

    0

    comments

    0

    adaptations

    1-024-MalariaControl-ModelingScenario
    This project offers students a chance to make policy recommendations based on the analysis of models using both linear (exponential decay) and non-linear (logistic growth) differential equations.

    Keywords: population dynamicsmalariaPolicyDecision-makingEuler's methodpharmacokineticsmosquitoimproved Euler's methodHuen's methodUS Army

    363

    views

    229

    downloads

    0

    comments

    0

    adaptations

    1-021-FeralCatControl-ModelingScenario
    Students act as professional mathematical consultants and write a report analyzing the client's problem. The client company is a fictional organization which advocates for the use of...

    Keywords: population growthcontrolferal catspopulation controlneutertrap-killtrap-neuter-return

    311

    views

    248

    downloads

    0

    comments

    0

    adaptations

    1-013-SleuthingWithDifferentialEquations-ModelingScenario
    We present several situations in which differential equation models serve to aid in sleuthing and general investigations.

    Keywords: projectile motionaccelerationNewton's Law of Coolingspeeding

    278

    views

    147

    downloads

    0

    comments

    0

    adaptations

    1-051-OneTankSaltModel-ModelingScenario
    A large tank initially contains 60 pounds of salt dissolved into 90 gallons of water. Salt water flows in at a rate of 4 gallons per minute, with a salt density of 2 pounds per gallon....

    Keywords: compartmentsalttankmixingflow

    267

    views

    160

    downloads

    0

    comments

    0

    adaptations

    1-054-GrowthInFarmland-ModelingScenario
    An enriching project developing a model from data with missing temporal information is described. Students fit functions to the data that leads to the creation of a differential equations model,...

    Keywords: fittingfarmfarmland

    219

    views

    191

    downloads

    0

    comments

    0

    adaptations

    1-062-BacteriaGrowth-ModelingScenario
    We offer students a simulation experience or data from a simulation and ask them to model the simulation using several approaches: exponential growth fit, difference equation, differential...

    Keywords: bacteriaexponentialgrowth

    213

    views

    276

    downloads

    0

    comments

    0

    adaptations

    1-083-FallingMeteorites-ModelingScenario
    After introducing the solution to the ordinary differential equation which models a falling object with drag (first-order, non-linear, separable), students will consider generalizing the model to a...

    Keywords: falling objectdragvariable massfactor rankingmeteormeteorite

    213

    views

    141

    downloads

    0

    comments

    0

    adaptations

    3-009-BallDropInWater-ModelingScenario
    We conduct an analysis of a falling ball in liquid to determine its terminal velocity and to ascertain just what radius ball for a given mass density is necessary to attain a designated terminal...

    Keywords: resistancegravityfalling bodyterminal velocitybuoyancy

    245

    views

    129

    downloads

    0

    comments

    0

    adaptations

    6-016-PandemicModeling-ModelingScenario
    The recent coronavirus outbreak has infected millions of people worldwide and spread to over 200 countries. How can we use differential equations to study the spread of coronavirus?

    Keywords: population dynamicsinfectious diseasediseaseEbolaeSIR modelsCOVID19pandemicepidemicreproduction number

    278

    views

    388

    downloads

    0

    comments

    0

    adaptations

    Biodiversity Conservation in Agriculture
    Biodiversity is decreasing rapidly each year and agriculture is a large contributor. In order to minimize biodiversity loss, we must study how local and landscape management in agriculture impact...

    Keywords: conservationagricultureBiodiversitybiodiversity conservationagricultural conservation

    491

    views

    433

    downloads

    0

    comments

    0

    adaptations

    1-109-EmployeeAttrition-ModelingScenario
    This scenario models the loss of employees and the employer's attempt to retain them through stock options. It most naturally is solved with a first-order linear decay model with two populations.

    Keywords: populationlinear growthdecayemployeeattrition

    171

    views

    112

    downloads

    0

    comments

    0

    adaptations

    Caribbean coral reef structure and biodiversity - Comparing boosted regression tree & multiple regression approaches
    Creating and comparing boosted regression tree models to multiple regression models.
    1094

    views

    1836

    downloads

    0

    comments

    0

    adaptations

    5-026-Evictions-ModelingScenario
    In this project, students develop two SIS models to study eviction trends in a population of non-homeowner households using an actual eviction rate. Students can calculate solutions, sketch the...

    Keywords: carrying capacitycompartmentevictionhomeownerSIS modelhomelessness

    598

    views

    144

    downloads

    0

    comments

    0

    adaptations

    1-102-CancerTumor-ModelingScenario
    This module guides students in the use of differential equation models to predict cancer growth and optimize treatment outcomes. Several classical models for cancer growth are studied, including ...

    Keywords: optimizationlogisticpredictiondata fittingpower lawGompertzcancer growtheponentialBertalanaffy

    310

    views

    239

    downloads

    0

    comments

    0

    adaptations

    1-102C-CancerGrowth-ModelingScenario
    This module guides students in the use of differential equation models to predict cancer growth and study treatment outcomes. Several classical models for cancer growth are presented including...

    Keywords: optimizationcancerlogisticexponentialpredictiontumorgrowthdata fittingpower lawBertanffyGompertz

    313

    views

    220

    downloads

    0

    comments

    0

    adaptations

    1-139-PlantsVsHerbivores-ModeliongScenario
    In this activity, students will apply a variety of techniques for analyzing nonlinear systems (e.g., nullclines, linearization, and technologies for drawing phase portraits) to study...

    Keywords: ecologynullclinesherbivoreplant-herbivore interactionsplantlinearization

    262

    views

    243

    downloads

    0

    comments

    0

    adaptations

    3-019-ShuttleCockFalling-ModelingScenario
    We are given data on the time and position of a shuttlecock as it falls to the ground from a set height. We attempt to model the falling object and we confront the different resistance terms and...

    Keywords: resistancegravityFree Body Diagramshuttlecockfallingc object

    329

    views

    462

    downloads

    0

    comments

    0

    adaptations

    6-007-FunctionsAndDerivativesInSIRModels-ModelingScenario
    Given a system of differential equations, how do the solution graphs compare with the graphs of the differential equations? Students tackle this question using SIR models for well-known infectious...

    Keywords: epidemiologyspecies interactionsderivativesvisualizationinfectionSIR modelsLaw of Mass Action

    294

    views

    407

    downloads

    0

    comments

    0

    adaptations

    1-004-MicroorganismImmigration-ModelingScenario
    We present a modeling opportunity for population death with non-constant immigration and suggest the use of both discrete and continuous models with a comparison of results.

    Keywords: continuousimmigrationpopulationdeathdiscrete

    189

    views

    104

    downloads

    0

    comments

    0

    adaptations

    Close

    Home

    Search